Global bifurcation for nonlinear equations

DOI10.1016/j.na.2007.08.013zbMath1153.35033OpenAlexW2082137794MaRDI QIDQ949659

Yun-Ho Kim, In-Sook Kim

Publication date: 21 October 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.08.013

zbMATH Keywords

weighted Sobolev spacesbifurcationnonlinear equation\(p\)-Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Equations involving nonlinear operators (general) (47J05) Nonlinear elliptic equations (35J60) Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcations in context of PDEs (35B32)

Related Items (7)

A global bifurcation for nonlinear equations with nonhomogeneous part ⋮ Global solution branches for equations involving nonhomogeneous operators of \(p\)-Laplace type ⋮ Existence of an unbounded branch of the set of solutions for equations of \(p(x)\)-Laplace type ⋮ Existence of an unbounded branch of the set of solutions for Neumann problems involving the \(p(x)\)-Laplacian ⋮ Global bifurcation for equations involving nonhomogeneous operators in an unbounded domain ⋮ Global bifurcation for a class of degenerate elliptic equations with variable exponents ⋮ Global bifurcation of the \(p\)-Laplacian in \(\mathbb R^N\)

Cites Work

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• Global bifurcation in variational inequalities: applications to obstacle and unilateral problems
• A global bifurcation for nonlinear inclusions
• Global bifurcation from the eigenvalues of the \(p\)-Laplacian
• On the noncompact component of solutions for nonlinear inclusions
• Global bifurcation of the \(p\)-Laplacian and related operators
• Global nontrivial bifurcation of homogeneous operators with an application to the \(p\)-Laplacian
• Bifurcation problems associated with generalized Laplacians
• Some global results for nonlinear eigenvalue problems
• Some aspects of nonlinear eigenvalue problems
• Global bifurcation for quasilinear elliptic equations

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